19 citations · 56 across the 29 of their papers we have counts for
35 papers
On differentiability in weakly o-minimal expansions of fields
Juan Pablo Acosta, Yatir Halevi, Assaf Hasson +2
We show that every definable function in a weakly o-minimal expansion of a field is generically differentiable, where the derivative takes values in the Cauchy completion of $K…
A note on uniform finiteness in weakly o-minimal theories
Yatir Halevi, Assaf Hasson, Ya'acov Peterzil
For an -saturated weakly o-minimal expansion of an ordered group , it is shown that has uniform finiteness if and only if the colle…
The infinitesimal subgroup of interpretable groups in some dp-minimal valued fields
Yatir Halevi, Assaf Hasson, Ya'acov Peterzil
We continue our local analysis of groups interpretable in various dp-minimal valued fields, as introduced in [8]. We associate with every infinite group interpretable in those…
Limits of definable families and dilations in nilmanifolds
Ya'acov Peterzil, Sergei Starchenko
Let be a unipotent group and a family of subsets of , with definable in an o-minimal expansion of the real field. Given a l…
Semisimple groups interpretable in various valued fields
Yatir Halevi, Assaf Hasson, Ya'acov Peterzil
We study infinite groups interpretable in power bounded -convex, -minimal or -adically closed fields. We show that if is an interpretable definably semisimple group (i…
On definable groups and D-group in certain fields with a generic derivation
Ya'acov Peterzil, Anand Pillay, Francoise Point
We continue our earlier study of finite dimensional definable groups in models of the the model companion of an o-minimal L-theory T expanded by a generic derivation as in [F-K]. W…